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Finding the Fourth Proportional to 512.98, 707.86 and 291.96

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Solution

The fourth proportional to 512.98, 707.86 and 291.96 is: 402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.98 : 707.86 = 291.96 : x
  2. Step 2: Convert to fraction form
    512.98/707.86 = 291.96/x
  3. Step 3: Cross multiply
    512.98x = 707.86 × 291.96
  4. Step 4: Simplify right side
    512.98x = 206,666.81
  5. Step 5: Solve for x
    x = 206,666.81/512.98
  6. Step 6: Final answer
    x = 402.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.